English

Species isomorphisms of fibered Burnside rings

Representation Theory 2022-09-26 v2 Group Theory

Abstract

In this note, we present a notion of species isomorphism for fibered Burnside rings. We prove that a species isomorphism can be restricted to an isomorphism of mark tables, that it can be extended to an isomorphism between the ghost rings and we provide three additional characterizations of this concept.

Keywords

Cite

@article{arxiv.2110.03632,
  title  = {Species isomorphisms of fibered Burnside rings},
  author = {Benjamín García},
  journal= {arXiv preprint arXiv:2110.03632},
  year   = {2022}
}